Doughnuts at one shop cost £1.20 each.
Doughnuts at a second shop cost 25% more.
What is the difference in the cost of doughnuts at the two shops?

Answer:because that’s what the answer is

Step-by-step explanation:

Answer:

Y=1/2x-3

Step-by-step explanation:

Answer:

It's (B)

Step-by-step explanation:

Answer:

$112.50

Step-by-step explanation:

so the first thing you would do is add 12 to 13 to get

12 + 13 = 25

then multiply 25 by 4.50 to get

25 x 4.50 = 112.50

so the average number of tips the server has received is $112.50

Answer:

The interquartile range of the players' weights = 48 pounds.

Step-by-step explanation:

The boxplot attached to this question is missing. It was obtained online and is attached to this solution of the question.

It should be noted that the following is true for a boxplot.

A box plot gives a visual representation of the distribution of the data, showing where most values lie and those values that greatly differ from the rest, called outliers.

The elements of the box plot are described thus;

The bottom side of the box represents the first quartile, and the top side, the third quartile. Therefore, the width of the central box represents the inter-quartile range.

The horizontal line inside the box is the median.

The lines extending from the box reach out to the minimum and the maximum values in the data set, as long as these values are not outliers. The ends of the whiskers are marked by two shorter horizontal lines.

Variables in the dataset, higher than Q3+(1.5×IQR) or lower than Q1-(1.5×IQR) are considered outliers and are usually shown using dots above the top whisker or below the bottom whisker.

So, it is evident that for this question,

First quartile = 174 pounds

Third quartile = 222 pounds

Inter Quartile Range = (Third quartile) - (First quartile)

= 222 - 174

= 48 pounds.

Hope this Helps!!!

Answer:

Area of sphere = 576 pi ft^2

Volume of sphere = 2,304 pi ft^3

Step-by-step explanation:

Radius of great circles are the same as radius of the sphere

So let’s calculate the radius of the sphere from the area given;

Mathematically;

pi * r^2 = 144pi

r^2 = 144

r = square root of 144

r = 12 ft

Volume of sphere = 4/3 * pi * r^3

= 4/3 * pi * 12^3 = 2,304 pi ft^3

Area of sphere = 4 * pi * r^2 = 4 * pi * 12^2 = 4 * 144 * pi = 576 pi ft^2

Answer:

53

Step-by-step explanation:

We know the first term and common difference so we can write the explicit formula. The formula is:

aₙ = a₁ + (n - 1)d

aₙ = 8 + (n - 1) * 3

aₙ = 3n + 5

This means that a₁₆ = 3 * 16 + 5 = 53

by using the formula for arithmetic sequence, the 16th term of the progression can be obtained. Given A1 = 8 and d = 3,

A16=A1 + (n-1) d

A16=8 + (16-1) (3)

A16 = 53

I hope I helped! Be safe!

Answer:

29/45 ≈ 0.644

Step-by-step explanation:

There are 450 students in total

110-60=50 students are only in the choir

240-60=180 students are only in the band

60 students are in both

160 students are neither in the band nor in the choir

So the chance of being in either is (50+60+180)/450 = 29/45 ≈ 0.644

Answer:

724 is the square root of 524176.

Step-by-step explanation:

Square root of 524176 by long division method.

[tex]\sqrt{524176}[/tex] =  7) 52 41 76 (724

                  7  49

             14 2)  341

                2   284

         144 4)   5776

                      5776

                          0

Therefore, square root  of 524176 is 724.

Answer:

x = -3 ± 2√2

Step-by-step explanation:

x² + 6x + 1 = 0

Let's solve by completing the square.

Add -1 and 9 on both sides.

x² + 6x + 9 = 8

Factor left side.

(x + 3)² = 8

Take square root on both sides.

x + 3 = ±√8

Add -3 to both sides.

x = -3 ± 2√2

Step-by-step explanation:

10b+5+18b+10

28b+15 is the answer

Answer:

28b+17

Step-by-step explanation:

=> 5(2b+1) + 6(3b+2)

Expanding the brackets

=> 10b+5+18b+12

Combining like terms

=> 10b+18b+5+12

=> 28b+17

Answer:

40%

Step-by-step explanation:

He made 48 naira.

48 = 40% * 120

Answer:

Its A

Step-by-step explanation:

i got it right

Answer:

The correct answer is B.

Step-by-step explanation:

There is no clear rule regarding the relationship with these numbers. So it is not linear.

Good Luck!

Answer:

the base???

Step-by-step explanation:

Answer:

Exponent

Step-by-step explanation:

An exponent is a shorthand notation which tells how many times a number (or expression) is multiplied by itself.

Answer:

1.2x10^13

Step-by-step explanation:

Trillion=1x10^12

12 trillion=12x10^12

12 trillion=1.2x10^13

Answer:

39.2.

Step-by-step explanation:

Think of the word "of" as a sign that you have to multiply.

- Hope this helped you.

Answer:

39.2

Explanation:

To solve this problem, we must first convert the forty percent into a decimal

⟹ 40% = 0.40

Next, multiply forty percent (as a decimal) by ninety eight

⟹ 0.40 × 98 = ?

⟹ 0.40 × 98 = 39.2

Therefore, forty percent of ninety eight is 39.2.

Answer:

Step-by-step explanation:

Let x and y represent amounts to be taken to Indianapolis and Ft. Wayne, respectively. Then you have ...

  x + y = 1000 . . . . . . 1000 bushels are to be divided between 2 markets

  x ≥ 100 . . . . . . . . . . Indianapolis needs at least 100 bushels

  y ≥ 300 . . . . . . . . .  Fort Wayne needs at least 300 bushels

Answer:  x + y = 1000   This could be x + y ≤ 1000 depending on how you interpret the distribution. (The markets might not need all )

x ≥ 100 We'll say this is Indianapolis needing a minimum of 100 bushels

y ≥ 300 This is Ft.Wayne needing a minimum of 300 bushels

Step-by-step explanation:

The distribution could be anything within the darkest shaded area in the attached graph.

For example, if Indianapolis takes only 100 bu, Ft.Wayne could get up to 900bu. If Ft. Wayne takes 300bu, Indy could get up to 700bu.

Or they could each take 500, and the farmer has none left, or they could each take their minimum plus 100 (200 + 400) and the farmer has 600bu left

Step-by-step explanation:

[tex]5(x - 2) = 5x - 7 \\ 5x - 10 = 5x - 7 \\ 0 = 3[/tex]no solutions

[tex]6x + 5 = 6x + 11 \\ 5 = 11[/tex]

no solutions

Answer:

D. I hope it helps!

Step-by-step explanation:

Darius is correct if only the median score is considered.

just took the quiz on edg.

Answer:

-7,-6,-3.these are the vertices

Work Shown:

908 rounds to 900. This is because 908 is closer to 900, than it is to 1000.

While 67 rounds to 100, for similar reasoning as above.

Multiplying those rounded values gives 900*100 = 90,000. This is the number 90 thousand.

Note that 9*1 = 9 and its followed by four zeros (two each from 900 and 100). This is a quick way to mentally multiply things like this.

Using a calculator, we see that 908*67 = 60,836 which is fairly off from what we estimated. This is to be expected as estimates only give us a rough idea of how big a number is.

Answer:

Step-by-step explanation:

Step-by-step explanation:

Since your question is incomplete, I have given you two different options based on your incomplete question.

Hope you understand this.

HAVE A GOOD DAY!

Answer:

[tex]f^{-1}[/tex] (x) = [tex]\frac{x-1}{2}[/tex]

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = 2x + 1 ( subtract 1 from both sides )

y - 1 = 2x ( divide both sides by 2 )

[tex]\frac{y-1}{2}[/tex] = x

Change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , so

[tex]f^{-1}[/tex] (x) = [tex]\frac{x-1}{2}[/tex]

Answer:  " f⁻¹(x) = (x-1)/2  ";  or, write as:

___________________________________

              " f⁻¹(x) = (x/2) - (1/2) " .

___________________________________

Step-by-step explanation:

___________________________________

Given:   f(x) = 2x + 1 ;  Find the inverse:

___________________________________

1)  Rewrite as y = 2x + 1 ;

2) Replace the "x" with "y" ; and the "y" with "x" ; and rewrite:

         x = 2y + 1 ;

3)  Now, "solve"; with "y" standing alone as a single, isolated variable on the left side of the equation, with an "equals" sign following the "y" :

         x = 2y + 1 :

Subtract "1" from each side of the equation:

         x - 1 = 2y + 1 - 1 ;

to get:

         x - 1 = 2y ;

___________________________________

↔  Rewrite as :

2y = x - 1 ;

Now, divide each side of the equation by "2" ;

  to isolate "y" on the left-hand side of the equation;

  & to solve in terms of "y":

___________________________________

2y / 2 = (x-1)/2 ;

___________________________________

to get:

y = (x-1)/2 ;

or; write as:  y = (x/2) - (1/2);

___________________________________

Now, rewrite; by replacing the "y" with "f⁻¹(x) "; as follows (to indicate that this is the "inverse function"):

___________________________________

f⁻¹(x) = (x-1)/2 ;  or, write as:

___________________________________

f⁻¹(x) = (x/2) - (1/2) .

___________________________________

Hope this is helpful to you!

 Best wishes!

___________________________________

Answer:

6

Step-by-step explanation:

Let the number be x.

1/3 × 12 = 2/3 × x

Multiply.

12/3 = 2/3x

4 = 2/3x

Multiply both sides by 3/2.

4 × 3/2 = x

12/2 = x

x= 6

Answer:

1/3 of 12 = 2/3 of 6

Step-by-step explanation:

1/3 · 12 = 2/3 · x

12/3 = 2x/3

Multiply 3 on both sides.

12 = 2x

12 ÷ 2 = x

6 = x

Answer:35 cars in 7 hours.

Step-by-step explanation:15/3=5 per hour. 5x7=35.

Answer:

35 cars in 7 hrs

Step-by-step explanation:

Steve's rate of work is (15 cars) / (3 hrs), or 5 cars/hr.

In 7 hrs he can wash

5 cars

---------- * 7 hrs = 35 cars in 7 hrs

   hr

Step-by-step explanation:

nm=16

m=16/n

m=16/8

m=2

Answer:

0.59375

Step-by-step explanation:

In a uniform distribution the probability that the time t is greater than any given value, X, is:

[tex]P(t\geq X)=1-\frac{X}{b-a}[/tex]

In this problem, the limits of the distribution are a = 0 and b = 8 minutes.

For X =3.25 minutes:

[tex]P(t\geq 3.25)=1-\frac{3.25}{8-0} \\P(t\geq 3.25)=0.59375[/tex]

The probability that a randomly selected passenger has a waiting time greater than 3.25 minutes is 0.59375.

The probability that a randomly selected passenger has a waiting time greater than 3.25 minutes is 0.59375.

Since The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 8 minutes.

So, here the probability is

[tex]= 1 - (3.25 \div (8-0))\\\\[/tex]

= 0.59375

Hence, The probability that a randomly selected passenger has a waiting time greater than 3.25 minutes is 0.59375.

Learn more about probability here: https://brainly.com/question/15241200

Answer:

(D)250 ft

Step-by-step explanation:

Circumference of Circle O [tex]= 250\pi ft[/tex]

For a circle of diameter d, Circumference = [tex]\pi d[/tex]

Therefore:

[tex]\pi d = 250 \pi\\d \approx 250$ ft[/tex]

The approximate length of the diameter, d is 250 ft.

The correct option is D.